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Modeling Viscoelastic Materials Using Internal Variables
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1999
Year
EngineeringStructural DynamicsMechanical EngineeringStructural OptimizationComputational MechanicsStructural EngineeringInternal Variable FormulationsMechanicsRheologyStructural DynamicLinear Structural DynamicsMaterial NonlinearitiesMechanical ModelingSolid MechanicsInternal VariablesRheological Constitutive EquationDynamic Constitutive BehaviorCivil EngineeringStructural AnalysisConstitutive ModelingStructural MechanicsVibration ControlMechanics Of Materials
The purpose of this paper is to present a short review on how internal variables are employed to model highly damped materials in linear structural dynamics. A background discussion is included that provides a reference to literature containing additional technical details. The classical constitutive models of Voigt, Kelvin-Voigt, and the standard linear solid are briefly reviewed. A number of recently proposed internal variable formulations are reviewed in one-dimensional form to highlight their similarities. Displacement-based finite element formulations for the Voigt, Kelvin-Voigt, and standard linear solid materials are presented. Reference is given to numerical methods employed to solve the finite element equations of motion.